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Finding the Fourth Proportional to 285,959.61, 428,660.50 and 136,159.65

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Solution

The fourth proportional to 285,959.61, 428,660.50 and 136,159.65 is: 204,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,959.61 : 428,660.50 = 136,159.65 : x
  2. Step 2: Convert to fraction form
    285,959.61/428,660.50 = 136,159.65/x
  3. Step 3: Cross multiply
    285,959.61x = 428,660.50 × 136,159.65
  4. Step 4: Simplify right side
    285,959.61x = 58,366,263,648.83
  5. Step 5: Solve for x
    x = 58,366,263,648.83/285,959.61
  6. Step 6: Final answer
    x = 204,106.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.